# What is the range of the function #F(X) = X^2 + 4#?

##### 1 Answer

Apr 8, 2017

#### Explanation:

The 'basic' parabola

#y=x^2# has a#color(blue)"minimum turning point"# at the origin (0 ,0)The parabola

#y=x^2+4# has the same graph as#y=x^2# but is translated 4 units vertically up and so it's#color(blue)"minimum turning point"# is at (0 ,4)

graph{(y-x^2)(y-x^2-4)=0 [-10, 10, -5, 5]}